- #1
drabdallh
- 9
- 0
IF F=MGcos θ AND THE ANGLE BETWEEN F AND D IS θ
THEN WILL THE WORK BE MGcos2θ?
THEN WILL THE WORK BE MGcos2θ?
The relationship between work and force when the angle changes is described by the equation W = Fdcosθ, where W is the work done, F is the applied force, d is the displacement, and θ is the angle between the force and the displacement. This means that the work done is directly proportional to the force and the displacement, but is also affected by the angle between them.
Changing the angle between the force and the displacement affects the amount of work done by changing the effective force acting in the direction of the displacement. When the angle is 0 degrees, the force and displacement are in the same direction, resulting in maximum work done. As the angle increases, the effective force acting in the direction of the displacement decreases, resulting in less work being done.
The cosine function in the equation for work with changing force represents the angle between the force and the displacement. This angle is important because it determines the effective force acting in the direction of the displacement. The cosine function allows us to calculate the work done when the force and displacement are not in the same direction.
When the angle between the force and the displacement is 90 degrees, the cosine function becomes 0, resulting in no work being done. This is because the force is acting perpendicular to the displacement, so there is no component of the force in the direction of the displacement.
Some real-life examples of work with force changing with angle include pushing a lawn mower at an angle, pulling a suitcase up a flight of stairs, and pushing a shopping cart at an angle. In all of these situations, the force and displacement are not in the same direction, and the angle between them affects the amount of work done.